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Bulletin of the American Physical Society

Study of dipolar many-body system in a one-dimensional zig-zag chain

Niraj Ghimire, Susanne F. Yelin

Published May 26, 2016• 0 citations
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The contractor renormalization group method was devised in 1994 by Morningstar and Weinstein.It was primarily aimed at extracting the physics of lattice quantum field theories (like lattice quantum chromodynamics).However, it is a general method of analyzing Hamiltonian lattice systems, e.g.Ising, Heisenberg or Hubbard models.The aim of this work is to show the application of contractor renormalization group method to one-dimensional quantum systems -the Heisenberg zig-zag model and the Hubbard chain.As a test of the method, the ground state energy of these systems will be calculated.
The COntractor REnormalization group method was devised in 1994 by Morningstar and Weinstein. It was primarily aimed at extracting the physics of lattice quantum field theories (like lattice Quantum Chromodynamics). However, it is a general method of analyzing Hamiltonian lattice systems, e.g. Ising, Heisenberg or Hubbard models. The aim of this work is to show the application of CORE to one-dimensional quantum systems -- the Heisenberg zig-zag model and the Hubbard chain. As a test of the method, the ground state energy of these systems will be calculated.
MAGNETIC PROPERTIES OF THE TWO-LEG ZIG-ZAG LADDER IN QUANTUM SPIN SYSTEM NH 4 CuCl 3 . Numerical analysis of the two-leg zig-zag ladder as a single chain with next-nearest neighbour interactions has been formulated by Cabra (1999) with the following Hamiltonian: Other formulation for two leg zig-zag ladder with dimmerized chains and coupling between the chains is as follow : From these formulations, we study the closing of the gap at zero magnetization by means of the fine—tuning mechanism and disappreance of the 1/2 plateau (gap) at finite by alternating dimerization of the chains along the rungs. We also described NH 4 CuCl 3 under high magnetic fields in a two-leg system.